# Polar to Rectangular Form

posted by .

The letters r and theta represent polar coordinates. Write each equation in rectangular coordinates (x, y) form.

Let t = theta

(1) r = sin(t) + 1

(2) r = sin(t) - cos(t)

• Polar to Rectangular Form -

Where you not given, or does your text not have formulas for changing from polar to rectangular????

I will do the first one

r^2 = x^2 + y^2 and sin(theta) = y/r

so you have

√(x^2+y^2) = y/√(x^2+y^2) + 1

multiply each term by √(x^2+y^2)

x^2+y^2 = y + √(x^2+y^2)

try the second one yourself, cos(t) = x/r

• Polar to Rectangular Form -

(3,2n/5)

## Similar Questions

1. ### Write in (x , y) Form

The letters r and theta represent polar coordinates. Write each equation in rectangular coordinates (x, y) form. (1) r = 4 (2) r = 3/(3 - cos(t)), where t = theta
2. ### Pre-Calculus

translate this polar equation into a rectangular form: rsin(2theta)=sin(theta) My answer: r2sin(theta)cos(theta)=sin(theta) 2rcos(theta)=1 2x=1 x=1/2 This is the only answer I can get and someone told me it's wrong. Would someone please …
3. ### PRECALCULUS

convert the polar equation to rectangular form. 1.) r sec(theta) = 3 2.) r = 4 cos(theta) - 4 sin(theta) convert from rectangular equation to polar form. 1.) x^2 + (y-1)^2 = 1 2.) (x-1)^2 + (y+4)^2 = 17

convert the polar equation to rectangular form. 1.) r sec(theta) = 3 2.) r = 4 cos(theta) - 4 sin(theta) convert from rectangular equation to polar form. 1.) x^2 + (y-1)^2 = 1 2.) (x-1)^2 + (y+4)^2 = 17

1.Graph the polar equation r=3-2sin(theta) 2. Find the polar coordinates of 6 radical 3,6 for r > 0. 3. Find the rectangular coordinates of (7, 30°). 4. Write the rectangular equation in polar form. (x – 4)2 + y2 = 16 5. Write …

1.Graph the polar equation r=3-2sin(theta) 2. Find the polar coordinates of 6 radical 3,6 for r > 0. 3. Find the rectangular coordinates of (7, 30°). 4. Write the rectangular equation in polar form. (x – 4)2 + y2 = 16 5. Write …